Home
Class 12
MATHS
A cube of ice melts without changing its...

A cube of ice melts without changing its shape at the uniform rate of `4(c m^3)`/min The rate of change of the surface area of the cube, in `(c m^2)`/min when the volume of the cube is `125c m^3,` is (a) `-4` (b) `-(16)/5` (c) `-(16)/6` (d) `-8/(15)`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

A cube of ice melts without changing its shape at the uniform rate of 4(c m^3)/(min)dot The rate of change of the surface area of the cube, in (c m^2)/(min), when the volume of the cube is 125c m^3, is (a) -4 (b) -(16)/5 (c) -(16)/6 (d) -8/(15)

The volume of cube is increasing at a rate of 9 cm^(3)//sec . Find the rate of increase of its surface area when the side of the cube is 10 cm.

Find the surface area of a cube whose edge is 11\ c m

The radius of a right circular cylinder increases at the rate of 0.1 cm/min, and the height decreases at the rate of 0.2 cm/min. The rate of change of the volume of the cylinder, in c m^2//m in , when the radius is 2c m and the height is 3cm is (a) -2pi (b) -(8pi)/5 -(3pi)/5 (d) (2pi)/5

The radius of a right circular cylinder increases at the rate of 0.1 cm/min, and the height decreases at the rate of 0.2 cm/min. The rate of change of the volume of the cylinder, in c m^2//m in , when the radius is 2c m and the height is 3cm is (a) -2p (b) -(8pi)/5 -(3pi)/5 (d) (2pi)/5

The volume of a cube is increasing at the rate of 9cm^(3)//sec . The rate ("in "cm^(2)//sec) at which the surface area is increasing when the edge of the cube is 9 cm, is

The side of a cube is increasing at a rate of 4 cm/sec. Find the rate of change of the volume of the cube when its side is 5 cm.

Cube of (-1)/2i s (a) 1/8 (b) 1/(16) (c) -1/8 (d) (-1)/(16)

If the sum of all the edges of a cube is 36 cm, then the volume (in c m^3) of that cube is (a) 9 (b) 27 (c) 219 (d) 729

Find the volume of a cube whose surface area is 54\ c m^2dot